Assignment 11

course Mth 151

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assignment #010

010. `Query 10

College Algebra

03-22-2009

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assignment #011

011. `Query 11

College Algebra

03-22-2009

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14:30:18

Query 1.4.24 1 to any power is what?

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RESPONSE -->

1 to any power is always one because it is always multiplying itself by 1 and never becoming any other number

confidence assessment: 1

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14:30:53

** The meaning is 1^2, 1^3, 1^4. We take a power of the base.

The result is always 1. **

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RESPONSE -->

Taking the power of the base does always result in 1 for this problem.

self critique assessment: 2

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14:32:06

Query 1.4.30 sqr of neg gives what?

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RESPONSE -->

The square of a negative number gives a positive number because it multiplies the same negative number twice, thus ending up with a positive number.

confidence assessment: 1

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14:33:17

** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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RESPONSE -->

I didn't realize that the problem was asking for the square root of a negative. I see what this is asking and realize that you cannot find the square root of a negative number.

self critique assessment: 2

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14:34:49

Query 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?

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RESPONSE -->

12 drawers to hold 204 tapes with some space left over.

confidence assessment: 1

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14:35:51

** 204 / 18 = 11 with remainder 6. If we had 11 drawers they would hold all but 6 of the tapes.

The leftover tapes also have to go into a drawer, so we need a 12th drawer. **

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RESPONSE -->

204 tapes divided by 18 compartments and then a remainder of 6 tapes. There are some tapes left over so they need to go into a 12th drawer.

self critique assessment: 1

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assignment #011

011. `Query 11

College Algebra

03-22-2009"

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